Direct phase-domain calculation of transmission line transients using two-sided recursions

This paper presents a new method for the simulation of electromagnetic transients on transmission lines. Instead of using convolutions of the input variables only, we perform short convolutions with both input and output variables. The result is a method of two-sided recursions (TSR), which is comparable in efficiency with the existing recursive convolutions or with their equivalent state variable formulations. It is, however, conceptually simpler and can be applied, in addition to fast modal-domain solutions, to the direct phase-domain calculation of transmission line transients with very accurate results